EVOLUTION-MANAGER

Edit File: Rmath.h

/* -*- C -*- * Mathlib : A C Library of Special Functions * Copyright (C) 1998-2018 The R Core Team * Copyright (C) 2004 The R Foundation * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as published by * the Free Software Foundation; either version 2.1 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public License * along with this program; if not, a copy is available at * https://www.R-project.org/Licenses/ * * Rmath.h should contain ALL headers from R's C code in `src/nmath' ------- such that ``the Math library'' can be used by simply ``#include <Rmath.h> '' and nothing else. It is part of the API and supports 'standalone Rmath'. */ #ifndef RMATH_H #define RMATH_H /* needed for cospi etc */ #ifndef __STDC_WANT_IEC_60559_FUNCS_EXT__ # define __STDC_WANT_IEC_60559_FUNCS_EXT__ 1 #endif #if defined(__cplusplus) && !defined(DO_NOT_USE_CXX_HEADERS) # include <cmath> // See comment in R.h # ifdef __SUNPRO_CC using namespace std; # endif #else # include <math.h> #endif #ifdef NO_C_HEADERS # warning "use of NO_C_HEADERS is defunct and will be ignored" #endif /*-- Mathlib as part of R -- define this for standalone : */ /* #undef MATHLIB_STANDALONE */ #define R_VERSION_STRING "3.6.0" // Legacy defines -- C99 functions which R >= 3.5.0 reauires #ifndef HAVE_EXPM1 # define HAVE_EXPM1 1 #endif #ifndef HAVE_HYPOT # define HAVE_HYPOT 1 #endif #ifndef HAVE_LOG1P # define HAVE_LOG1P 1 #endif #ifndef HAVE_WORKING_LOG1P # define HAVE_WORKING_LOG1P 1 #endif #if !defined(HAVE_WORKING_LOG1P) /* remap to avoid problems with getting the right entry point */ double Rlog1p(double); #define log1p Rlog1p #endif /* ----- The following constants and entry points are part of the R API ---- */ /* 30 Decimal-place constants */ /* Computed with bc -l (scale=32; proper round) */ /* SVID & X/Open Constants */ /* Names from Solaris math.h */ #ifndef M_E #define M_E 2.718281828459045235360287471353 /* e */ #endif #ifndef M_LOG2E #define M_LOG2E 1.442695040888963407359924681002 /* log2(e) */ #endif #ifndef M_LOG10E #define M_LOG10E 0.434294481903251827651128918917 /* log10(e) */ #endif #ifndef M_LN2 #define M_LN2 0.693147180559945309417232121458 /* ln(2) */ #endif #ifndef M_LN10 #define M_LN10 2.302585092994045684017991454684 /* ln(10) */ #endif #ifndef M_PI #define M_PI 3.141592653589793238462643383280 /* pi */ #endif #ifndef M_2PI #define M_2PI 6.283185307179586476925286766559 /* 2*pi */ #endif #ifndef M_PI_2 #define M_PI_2 1.570796326794896619231321691640 /* pi/2 */ #endif #ifndef M_PI_4 #define M_PI_4 0.785398163397448309615660845820 /* pi/4 */ #endif #ifndef M_1_PI #define M_1_PI 0.318309886183790671537767526745 /* 1/pi */ #endif #ifndef M_2_PI #define M_2_PI 0.636619772367581343075535053490 /* 2/pi */ #endif #ifndef M_2_SQRTPI #define M_2_SQRTPI 1.128379167095512573896158903122 /* 2/sqrt(pi) */ #endif #ifndef M_SQRT2 #define M_SQRT2 1.414213562373095048801688724210 /* sqrt(2) */ #endif #ifndef M_SQRT1_2 #define M_SQRT1_2 0.707106781186547524400844362105 /* 1/sqrt(2) */ #endif /* R-Specific Constants */ #ifndef M_SQRT_3 #define M_SQRT_3 1.732050807568877293527446341506 /* sqrt(3) */ #endif #ifndef M_SQRT_32 #define M_SQRT_32 5.656854249492380195206754896838 /* sqrt(32) */ #endif #ifndef M_LOG10_2 #define M_LOG10_2 0.301029995663981195213738894724 /* log10(2) */ #endif #ifndef M_SQRT_PI #define M_SQRT_PI 1.772453850905516027298167483341 /* sqrt(pi) */ #endif #ifndef M_1_SQRT_2PI #define M_1_SQRT_2PI 0.398942280401432677939946059934 /* 1/sqrt(2pi) */ #endif #ifndef M_SQRT_2dPI #define M_SQRT_2dPI 0.797884560802865355879892119869 /* sqrt(2/pi) */ #endif #ifndef M_LN_2PI #define M_LN_2PI 1.837877066409345483560659472811 /* log(2*pi) */ #endif #ifndef M_LN_SQRT_PI #define M_LN_SQRT_PI 0.572364942924700087071713675677 /* log(sqrt(pi)) == log(pi)/2 */ #endif #ifndef M_LN_SQRT_2PI #define M_LN_SQRT_2PI 0.918938533204672741780329736406 /* log(sqrt(2*pi)) == log(2*pi)/2 */ #endif #ifndef M_LN_SQRT_PId2 #define M_LN_SQRT_PId2 0.225791352644727432363097614947 /* log(sqrt(pi/2)) == log(pi/2)/2 */ #endif #ifdef MATHLIB_STANDALONE # ifndef R_EXT_BOOLEAN_H_ /* "copy-paste" R_ext/Boolean.h if not already included: */ #define R_EXT_BOOLEAN_H_ #undef FALSE #undef TRUE typedef enum { FALSE = 0, TRUE } Rboolean; # endif #else # include <R_ext/Boolean.h> #endif #if !defined(MATHLIB_STANDALONE) && !defined(R_NO_REMAP_RMATH) #define bessel_i Rf_bessel_i #define bessel_j Rf_bessel_j #define bessel_k Rf_bessel_k #define bessel_y Rf_bessel_y #define bessel_i_ex Rf_bessel_i_ex #define bessel_j_ex Rf_bessel_j_ex #define bessel_k_ex Rf_bessel_k_ex #define bessel_y_ex Rf_bessel_y_ex #define beta Rf_beta #define choose Rf_choose #define dbeta Rf_dbeta #define dbinom Rf_dbinom #define dbinom_raw Rf_dbinom_raw #define dcauchy Rf_dcauchy #define dchisq Rf_dchisq #define dexp Rf_dexp #define df Rf_df #define dgamma Rf_dgamma #define dgeom Rf_dgeom #define dhyper Rf_dhyper #define digamma Rf_digamma #define dlnorm Rf_dlnorm #define dlogis Rf_dlogis #define dnbeta Rf_dnbeta #define dnbinom Rf_dnbinom #define dnbinom_mu Rf_dnbinom_mu #define dnchisq Rf_dnchisq #define dnf Rf_dnf #define dnorm4 Rf_dnorm4 #define dnt Rf_dnt #define dpois_raw Rf_dpois_raw #define dpois Rf_dpois #define dpsifn Rf_dpsifn #define dsignrank Rf_dsignrank #define dt Rf_dt #define dtukey Rf_dtukey #define dunif Rf_dunif #define dweibull Rf_dweibull #define dwilcox Rf_dwilcox #define fmax2 Rf_fmax2 #define fmin2 Rf_fmin2 #define fprec Rf_fprec #define fround Rf_fround #define ftrunc Rf_ftrunc #define fsign Rf_fsign #define gammafn Rf_gammafn #define imax2 Rf_imax2 #define imin2 Rf_imin2 #define lbeta Rf_lbeta #define lchoose Rf_lchoose #define lgammafn Rf_lgammafn #define lgammafn_sign Rf_lgammafn_sign #define lgamma1p Rf_lgamma1p #define log1pexp Rf_log1pexp #define log1pmx Rf_log1pmx #define logspace_add Rf_logspace_add #define logspace_sub Rf_logspace_sub #define logspace_sum Rf_logspace_sum #define pbeta Rf_pbeta #define pbeta_raw Rf_pbeta_raw #define pbinom Rf_pbinom #define pcauchy Rf_pcauchy #define pchisq Rf_pchisq #define pentagamma Rf_pentagamma #define pexp Rf_pexp #define pf Rf_pf #define pgamma Rf_pgamma #define pgeom Rf_pgeom #define phyper Rf_phyper #define plnorm Rf_plnorm #define plogis Rf_plogis #define pnbeta Rf_pnbeta #define pnbinom Rf_pnbinom #define pnbinom_mu Rf_pnbinom_mu #define pnchisq Rf_pnchisq #define pnf Rf_pnf #define pnorm5 Rf_pnorm5 #define pnorm_both Rf_pnorm_both #define pnt Rf_pnt #define ppois Rf_ppois #define psignrank Rf_psignrank #define psigamma Rf_psigamma #define pt Rf_pt #define ptukey Rf_ptukey #define punif Rf_punif #define pweibull Rf_pweibull #define pwilcox Rf_pwilcox #define qbeta Rf_qbeta #define qbinom Rf_qbinom #define qcauchy Rf_qcauchy #define qchisq Rf_qchisq #define qchisq_appr Rf_qchisq_appr #define qexp Rf_qexp #define qf Rf_qf #define qgamma Rf_qgamma #define qgeom Rf_qgeom #define qhyper Rf_qhyper #define qlnorm Rf_qlnorm #define qlogis Rf_qlogis #define qnbeta Rf_qnbeta #define qnbinom Rf_qnbinom #define qnbinom_mu Rf_qnbinom_mu #define qnchisq Rf_qnchisq #define qnf Rf_qnf #define qnorm5 Rf_qnorm5 #define qnt Rf_qnt #define qpois Rf_qpois #define qsignrank Rf_qsignrank #define qt Rf_qt #define qtukey Rf_qtukey #define qunif Rf_qunif #define qweibull Rf_qweibull #define qwilcox Rf_qwilcox #define rbeta Rf_rbeta #define rbinom Rf_rbinom #define rcauchy Rf_rcauchy #define rchisq Rf_rchisq #define rexp Rf_rexp #define rf Rf_rf #define rgamma Rf_rgamma #define rgeom Rf_rgeom #define rhyper Rf_rhyper #define rlnorm Rf_rlnorm #define rlogis Rf_rlogis #define rmultinom Rf_rmultinom #define rnbeta Rf_rnbeta #define rnbinom Rf_rnbinom #define rnbinom_mu Rf_rnbinom_mu #define rnchisq Rf_rnchisq #define rnf Rf_rnf #define rnorm Rf_rnorm #define rnt Rf_rnt #define rpois Rf_rpois #define rsignrank Rf_rsignrank #define rt Rf_rt #define rtukey Rf_rtukey #define runif Rf_runif #define rweibull Rf_rweibull #define rwilcox Rf_rwilcox #define sign Rf_sign #define tetragamma Rf_tetragamma #define trigamma Rf_trigamma #endif #define dnorm dnorm4 #define pnorm pnorm5 #define qnorm qnorm5 #ifdef __cplusplus extern "C" { #endif /* R's versions with !R_FINITE checks */ double R_pow(double x, double y); double R_pow_di(double, int); /* Random Number Generators */ double norm_rand(void); double unif_rand(void); double R_unif_index(double); double exp_rand(void); #ifdef MATHLIB_STANDALONE void set_seed(unsigned int, unsigned int); void get_seed(unsigned int *, unsigned int *); #endif /* Normal Distribution */ double dnorm(double, double, double, int); double pnorm(double, double, double, int, int); double qnorm(double, double, double, int, int); double rnorm(double, double); void pnorm_both(double, double *, double *, int, int);/* both tails */ /* Uniform Distribution */ double dunif(double, double, double, int); double punif(double, double, double, int, int); double qunif(double, double, double, int, int); double runif(double, double); /* Gamma Distribution */ double dgamma(double, double, double, int); double pgamma(double, double, double, int, int); double qgamma(double, double, double, int, int); double rgamma(double, double); double log1pmx(double); double log1pexp(double); // <-- ../nmath/plogis.c double lgamma1p(double); double logspace_add(double, double); double logspace_sub(double, double); double logspace_sum(const double *, int); /* Beta Distribution */ double dbeta(double, double, double, int); double pbeta(double, double, double, int, int); double qbeta(double, double, double, int, int); double rbeta(double, double); /* Lognormal Distribution */ double dlnorm(double, double, double, int); double plnorm(double, double, double, int, int); double qlnorm(double, double, double, int, int); double rlnorm(double, double); /* Chi-squared Distribution */ double dchisq(double, double, int); double pchisq(double, double, int, int); double qchisq(double, double, int, int); double rchisq(double); /* Non-central Chi-squared Distribution */ double dnchisq(double, double, double, int); double pnchisq(double, double, double, int, int); double qnchisq(double, double, double, int, int); double rnchisq(double, double); /* F Distibution */ double df(double, double, double, int); double pf(double, double, double, int, int); double qf(double, double, double, int, int); double rf(double, double); /* Student t Distibution */ double dt(double, double, int); double pt(double, double, int, int); double qt(double, double, int, int); double rt(double); /* Binomial Distribution */ double dbinom_raw(double x, double n, double p, double q, int give_log); double dbinom(double, double, double, int); double pbinom(double, double, double, int, int); double qbinom(double, double, double, int, int); double rbinom(double, double); /* Multnomial Distribution */ void rmultinom(int, double*, int, int*); /* Cauchy Distribution */ double dcauchy(double, double, double, int); double pcauchy(double, double, double, int, int); double qcauchy(double, double, double, int, int); double rcauchy(double, double); /* Exponential Distribution */ double dexp(double, double, int); double pexp(double, double, int, int); double qexp(double, double, int, int); double rexp(double); /* Geometric Distribution */ double dgeom(double, double, int); double pgeom(double, double, int, int); double qgeom(double, double, int, int); double rgeom(double); /* Hypergeometric Distibution */ double dhyper(double, double, double, double, int); double phyper(double, double, double, double, int, int); double qhyper(double, double, double, double, int, int); double rhyper(double, double, double); /* Negative Binomial Distribution */ double dnbinom(double, double, double, int); double pnbinom(double, double, double, int, int); double qnbinom(double, double, double, int, int); double rnbinom(double, double); double dnbinom_mu(double, double, double, int); double pnbinom_mu(double, double, double, int, int); double qnbinom_mu(double, double, double, int, int); double rnbinom_mu(double, double); /* Poisson Distribution */ double dpois_raw (double, double, int); double dpois(double, double, int); double ppois(double, double, int, int); double qpois(double, double, int, int); double rpois(double); /* Weibull Distribution */ double dweibull(double, double, double, int); double pweibull(double, double, double, int, int); double qweibull(double, double, double, int, int); double rweibull(double, double); /* Logistic Distribution */ double dlogis(double, double, double, int); double plogis(double, double, double, int, int); double qlogis(double, double, double, int, int); double rlogis(double, double); /* Non-central Beta Distribution */ double dnbeta(double, double, double, double, int); double pnbeta(double, double, double, double, int, int); double qnbeta(double, double, double, double, int, int); double rnbeta(double, double, double); /* Non-central F Distribution */ double dnf(double, double, double, double, int); double pnf(double, double, double, double, int, int); double qnf(double, double, double, double, int, int); /* Non-central Student t Distribution */ double dnt(double, double, double, int); double pnt(double, double, double, int, int); double qnt(double, double, double, int, int); /* Studentized Range Distribution */ double ptukey(double, double, double, double, int, int); double qtukey(double, double, double, double, int, int); /* Wilcoxon Rank Sum Distribution */ double dwilcox(double, double, double, int); double pwilcox(double, double, double, int, int); double qwilcox(double, double, double, int, int); double rwilcox(double, double); /* Wilcoxon Signed Rank Distribution */ double dsignrank(double, double, int); double psignrank(double, double, int, int); double qsignrank(double, double, int, int); double rsignrank(double); /* Gamma and Related Functions */ double gammafn(double); double lgammafn(double); double lgammafn_sign(double, int*); void dpsifn(double, int, int, int, double*, int*, int*); double psigamma(double, double); double digamma(double); double trigamma(double); double tetragamma(double); double pentagamma(double); double beta(double, double); double lbeta(double, double); double choose(double, double); double lchoose(double, double); /* Bessel Functions */ double bessel_i(double, double, double); double bessel_j(double, double); double bessel_k(double, double, double); double bessel_y(double, double); double bessel_i_ex(double, double, double, double *); double bessel_j_ex(double, double, double *); double bessel_k_ex(double, double, double, double *); double bessel_y_ex(double, double, double *); /* General Support Functions */ int imax2(int, int); int imin2(int, int); double fmax2(double, double); double fmin2(double, double); double sign(double); double fprec(double, double); double fround(double, double); double fsign(double, double); double ftrunc(double); double log1pmx(double); /* Accurate log(1+x) - x, {care for small x} */ double lgamma1p(double);/* accurate log(gamma(x+1)), small x (0 < x < 0.5) */ /* More accurate cos(pi*x), sin(pi*x), tan(pi*x) These declarations might clash with system headers if someone had already included math.h with __STDC_WANT_IEC_60559_FUNCS_EXT__ defined (and we try, above). We check for that via the value of __STDC_IEC_60559_FUNCS__ */ #if !(defined(__STDC_IEC_60559_FUNCS__) && __STDC_IEC_60559_FUNCS__ >= 201506L) double cospi(double); double sinpi(double); double tanpi(double); #endif /* Compute the log of a sum or difference from logs of terms, i.e., * * log (exp (logx) + exp (logy)) * or log (exp (logx) - exp (logy)) * * without causing overflows or throwing away too much accuracy: */ double logspace_add(double logx, double logy); double logspace_sub(double logx, double logy); /* ----------------- Private part of the header file ------------------- */ #if defined(MATHLIB_STANDALONE) && !defined(MATHLIB_PRIVATE_H) /* second is defined by nmath.h */ /* If isnan is a macro, as C99 specifies, the C++ math header will undefine it. This happens on macOS */ # ifdef __cplusplus int R_isnancpp(double); /* in mlutils.c */ # define ISNAN(x) R_isnancpp(x) # else # define ISNAN(x) (isnan(x)!=0) # endif # define R_FINITE(x) R_finite(x) int R_finite(double); # ifdef _WIN32 /* not Win32 as no config information */ # ifdef RMATH_DLL # define R_EXTERN extern __declspec(dllimport) # else # define R_EXTERN extern # endif R_EXTERN double NA_REAL; R_EXTERN double R_PosInf; R_EXTERN double R_NegInf; R_EXTERN int N01_kind; # undef R_EXTERN #else extern int N01_kind; # endif #endif /* MATHLIB_STANDALONE */ #ifdef __cplusplus } #endif #endif /* RMATH_H */